Days With Temperature Above Average

You are given the number of days N and a sequence of N integer temperatures recorded over consecutive days. Your task is to determine how many days had a temperature strictly greater than the average temperature over these N days.

The average temperature is calculated as

$$\text{average} = \frac{\text{sum of all temperatures}}{N}, $$

and you need to count the number of days for which the temperature is greater than this average. If N is 0, the output should be 0.

inputFormat

The input is read from stdin and consists of two lines:

1. The first line contains an integer N, which is the number of days.
2. If N > 0, the second line contains N space-separated integers representing the temperatures of each day.

outputFormat

Output a single integer to stdout representing the number of days with temperatures above the average temperature.

## sample

5
20 30 25 28 32

3